Math, asked by rayesomunaidu, 4 days ago

4⁴× 16⁴

please answer the questions ​

Answers

Answered by prachisinghal13
1

Answer:

4x4x4x4x16x16x16x16=16x16x16x16x16x16=256x256x256

Step-by-step explanation:

please mark as the brainliest answer

Answered by steffiaspinno
1

16777216

A number expressed as a superscript to another number is called an exponent. The exponent of a number indicates how many times that number should be multiplied by itself. So, in the case above, 3^{2} equals 3x3, which equals 9. Exponents make it easier to write huge multiplication problems. So instead of 7x7x7x7x7x7x7x7, we can simply write as 7^{8}.

When we have two exponential expressions with the same base, multiplying them together is simple. It's as simple as adding the exponents.

Here's an illustration:

2^{2}x2^{5}

Simply add the exponents:

2 + 5 = 7

2^{7}

Then, 2x2x2x2x2x2x2 = 128

So, in the given question 4^{4}× 16^{4}, the bases are different.

To make the bases same, we can write 16^{4} as (4*4)^{4}

Then simplifying,

4^{4} x4*4^{4}

4^{4}x4^{4}x4^{4}

Adding the exponents,

4^{4+4+4}

4^{12}

4x4x4x4x4x4x4x4x4x4x4x4

16777216

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